Category: Algebra

Question Number 79757 by mathocean1 last updated on 27/Jan/20 $$\mathrm{And}\mathrm{equation}\mathrm{of}\mathrm{a}\mathrm{circle}\mathrm{is}$$$$x^2+y^2-2x+4y=0.$$$$\left(T\right)\mathrm{is}\mathrm{his}\mathrm{his}\mathrm{tangent}\mathrm{line}\mathrm{at}\mathrm{M}(x_0;y_0)$$$$passingbyD(2;1).$$$$$$$$\left.\mathrm{a}\right)\:\mathrm{Show}\:\mathrm{that}\:\mathrm{y}\:\mathrm{verify}\:\mathrm{y}_{\mathrm{0}} ^{\mathrm{2}}…

Question Number 145280 by mathdanisur last updated on 03/Jul/21 $$if{\mathit{x}}^2=\mathit{x}+2find\frac{{\mathit{x}}^3+1}{{(\mathit{x}+1)}^2}=?$$ Answered by puissant last updated on 03/Jul/21 $$\mathrm{x}^{\mathrm{3}} =\mathrm{x}^{\mathrm{2}} +\mathrm{2x}\:\Rightarrow\:\mathrm{x}^{\mathrm{3}}…

Question Number 145259 by mathdanisur last updated on 03/Jul/21 $$\int \frac{{(3\sqrt{x}+2)}^5}{\sqrt{x}}dx=?$$ Answered by Dwaipayan Shikari last updated on 03/Jul/21 $$put\sqrt{x}=t\Rightarrow \frac{1}{2\sqrt{x}}dx=dt$$$$=\mathrm{2}.\mathrm{3}^{\mathrm{5}} \int\left({t}+\frac{\mathrm{2}}{\mathrm{3}}\right)^{\mathrm{5}}…

Question Number 145238 by liberty last updated on 03/Jul/21 Answered by gsk2684 last updated on 03/Jul/21 $$\mathrm{x}=1\mathrm{or}\frac{1}{3}$$ Answered by Rasheed.Sindhi last updated on…

Question Number 145224 by mathdanisur last updated on 03/Jul/21 $$\sqrt{2\sqrt{3}+2}-\sqrt{\sqrt{3}-\sqrt{2}}=?$$ Answered by Olaf_Thorendsen last updated on 03/Jul/21 $${(\sqrt{3}+\sqrt{2}+1)}^2=6+2\sqrt{6}+2\sqrt{3}+2\sqrt{2}$$$$$$$${x}\:=\:\sqrt{\mathrm{2}\sqrt{\mathrm{3}}+\mathrm{2}}−\sqrt{\sqrt{\mathrm{3}}−\sqrt{\mathrm{2}}}…